SOLUTION: Please help me find this equation: Find the equation of the vertical parabola passing through (0,-6);(1,-3);(2,6).

Algebra ->  Equations -> SOLUTION: Please help me find this equation: Find the equation of the vertical parabola passing through (0,-6);(1,-3);(2,6).      Log On


   

Question 325939: Please help me find this equation: Find the equation of the vertical parabola passing through (0,-6);(1,-3);(2,6).
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The equation of a general parabola with a vertical axis of symmetry is:



Substituting the coordinates of the first given point:





Substituting the coordinates of the second given point:





Substituting the coordinates of the third point:





Substituting the value we have determined for c:





and





Now just solve the 2 X 2 system:




and you will have all three coefficients to fill in the general equation:



John